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Finding the Fourth Proportional to 164.66, 247.18 and 113.52

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Solution

The fourth proportional to 164.66, 247.18 and 113.52 is: 170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.66 : 247.18 = 113.52 : x
  2. Step 2: Convert to fraction form
    164.66/247.18 = 113.52/x
  3. Step 3: Cross multiply
    164.66x = 247.18 × 113.52
  4. Step 4: Simplify right side
    164.66x = 28,059.87
  5. Step 5: Solve for x
    x = 28,059.87/164.66
  6. Step 6: Final answer
    x = 170.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.